Can I rent a mailbox at UPS Store and use it as a physical business address?
Depending on the type of business, this may not be allowed. However, there's no blanket restriction, so you need to check if for business of the type that you have this is not forbidden. In any case, there's "business address" and there's "address of records". The former can, for most part, be a PO box. The latter usually cannot. Check if Virginia requires "address of records" to be provided.
Can I use my home address as a registered agent address? If yes, would my house be considered as a business property? or registered address is just an address that gonna receive mails from the government state?
Yes, you can be your LLCs registered agent. The registered agent must be able to accept official deliveries during the regular business hours. PO box cannot be used for that purpose, it must be a physical address where there's someone present to sign for you when you're served with lawsuits and notices. If you are not at home during the regular business hours - you cannot provide your home address for that purpose.
You will be using your home for business purposes, whether you're serving as your own registered agent or not. So depending on your county/city laws - it is likely that your home will be considered place of business either way.
Can I use UPS mailbox store for both business address and registered agent?
What other options should I consider?
You can hire a register agent in your State, it is usually $50-$100/year. They will scan whatever they receive and forward to you, usually within hours. Some also provide mail forwarding service (i.e.: they'll forward any mail for you, not only official correspondence), but that usually costs extra.